Details

sample21.0ms

Algorithm

intervals

Results

10.0ms	325×	body	80	valid
0.0ms	2×	body	640	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

7.0ms	(* x (+ y z))
7.0ms	(+ (* x (+ y z)) (* z 5.0))

series59.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (+ y z))
32.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify140.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune85.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* x y) (* z (+ x 5.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

6.0ms	(* z (+ x 5.0))
5.0ms	(+ (* x y) (* z (+ x 5.0)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* z (+ x 5.0))
35.0ms	(+ (* x y) (* z (+ x 5.0)))

simplify143.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	209	182
1	941	168
2	4786	168
3	5001	168

prune78.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Merged error: 0.0b

Counts

46 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ y z)) (cbrt (+ y z)))
0.5b	(cbrt (+ y z))
0.5b	(cbrt (+ y z))
0.5b	(cbrt (+ y z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

11.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))
4.0ms	(cbrt (+ y z))

series719.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
174.0ms	(cbrt (+ y z))
167.0ms	(cbrt (+ y z))
171.0ms	(cbrt (+ y z))

simplify164.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (154.0ms)

Iter	Nodes	Cost
0	247	671
1	887	634
2	4204	580
3	5002	576

prune245.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
2.9b	(* z (- (* x x) (* 5.0 5.0)))
6.9b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-r*`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

7.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
6.0ms	(* z (- (* x x) (* 5.0 5.0)))
10.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series226.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
68.0ms	(* z (- (* x x) (* 5.0 5.0)))
93.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	397	570
1	1864	498
2	5001	464

prune129.0ms

Filtered

74 candidates to 53 candidates (71.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Merged error: 0.0b

Counts

79 → 5

regimes66.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample449.0ms

Algorithm

intervals

Results

223.0ms	9793×	body	80	valid
14.0ms	119×	body	640	valid
10.0ms	102×	body	1280	valid
4.0ms	68×	body	320	valid
1.0ms	25×	body	160	valid